Finding the Fourth Proportional to 2,002.38, 3,002.28 and 961.02

Step by Step Solution

1. Step 1: Write the proportion equation
   2,002.38 : 3,002.28 = 961.02 : x
2. Step 2: Convert to fraction form
   2,002.38/3,002.28 = 961.02/x
3. Step 3: Cross multiply
   2,002.38x = 3,002.28 × 961.02
4. Step 4: Simplify right side
   2,002.38x = 2,885,251.13
5. Step 5: Solve for x
   x = 2,885,251.13/2,002.38
6. Step 6: Final answer
   x = 1,440.91